{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Import standard libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Import the package MultiNetX"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import multinetx as mx"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Create three Erd\"os- R'enyi networks with N nodes for each layer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "N = 50\n",
    "g1 = mx.erdos_renyi_graph(N,0.07,seed=218)\n",
    "g2 = mx.erdos_renyi_graph(N,0.07,seed=211)\n",
    "g3 = mx.erdos_renyi_graph(N,0.07,seed=208)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Edge colored nertwork (no inter-connected layers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Create the multiplex network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "mg = mx.MultilayerGraph(list_of_layers=[g1,g2,g3])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Set weights to the edges"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "mg.set_intra_edges_weights(layer=0,weight=1)\n",
    "mg.set_intra_edges_weights(layer=1,weight=2)\n",
    "mg.set_intra_edges_weights(layer=2,weight=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Plot the adjacency matrix and the multiplex networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa2eb255c90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(15,5))\n",
    "ax1 = fig.add_subplot(121)\n",
    "ax1.imshow(mx.adjacency_matrix(mg,weight='weight').todense(),\n",
    "          origin='upper',interpolation='nearest',cmap=plt.cm.jet_r)\n",
    "ax1.set_title('supra adjacency matrix')\n",
    "\n",
    "ax2 = fig.add_subplot(122)\n",
    "ax2.axis('off')\n",
    "ax2.set_title('edge colored network')\n",
    "pos = mx.get_position(mg,mx.fruchterman_reingold_layout(g1),\n",
    "                      layer_vertical_shift=0.2,\n",
    "                      layer_horizontal_shift=0.0,\n",
    "                      proj_angle=50)\n",
    "mx.draw_networkx(mg,pos=pos,ax=ax2,node_size=50,with_labels=False,\n",
    "                 edge_color=[mg[a][b]['weight'] for a,b in mg.edges()],\n",
    "                 edge_cmap=plt.cm.jet_r)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Regular interconnected multiplex"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Define the type of interconnection between the layers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "adj_block = mx.lil_matrix(np.zeros((N*3,N*3)))\n",
    "\n",
    "adj_block[0:  N,  N:2*N] = np.identity(N)    # L_12\n",
    "adj_block[0:  N,2*N:3*N] = np.identity(N)    # L_13\n",
    "#adj_block[N:2*N,2*N:3*N] = np.identity(N)    # L_23\n",
    "adj_block += adj_block.T"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Create an instance of the MultilayerGraph class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "mg = mx.MultilayerGraph(list_of_layers=[g1,g2,g3], \n",
    "                        inter_adjacency_matrix=adj_block)\n",
    "\n",
    "mg.set_edges_weights(inter_layer_edges_weight=4)\n",
    "\n",
    "mg.set_intra_edges_weights(layer=0,weight=1)\n",
    "mg.set_intra_edges_weights(layer=1,weight=2)\n",
    "mg.set_intra_edges_weights(layer=2,weight=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Plot the adjacency matrix and the multiplex networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TtJJgaJcd76OAbD7dlEm/Ds8Ay4BlbFq3nHOe2byvOKp9UZ1iaL/zZxy22k51\nXEzWcWgcUpY2h8PhcDgc9YtnZATUyAgcC5xEPDDcTqCzboH70DiNw9aPZNmyxqSkzpOX5m7lhJNT\n0Pp804EHgG2EUlqwdvdlqLFymoT3qbA0Rw2XfOIZw/yZwz4E/mXXp6Aqhaf0HIsG9C8GPmHMQ2Ob\nLfrtksKCXf2B1tmdehQW3PbwVoaen4MaNx3t+bzYmG3A52g2uH706HNnVo8+m6et/qxj0to+xw0p\nLAqGNtt+H4MaEwYwpKeA1rUJABcRi1G8+rM97mZ+RgKjl83LIhbLIhgENUIq7fG6EV7YPXvyWClZ\nOBsMx2Uef2KvoglTN9L/lHzUXa4MKGTDLujdbjHBUIRZX/bkRyf+GTUIS+zfIjs+l6DfpVuA91j9\nWSFfLCvhvEvL1CAN0aKycnq1cVhdjl5XqLFHeaiytgpowzFH9QIutmMboEPXXObegoRZACxBEyIs\nBcImj5IkQ5EUU1P2vcOotDSH+++BLP8Y1NX/muPAafIKz6GoM42pDlDieRurwuPhlJ66p7GPuVN4\nHEci1T1l/jXwNjDQvmfjGUzlwuLvk55ZABSiE1zvb5HJo2K/z6tpoZvhM0Zyz+ryyL1bNvSuQaHY\navfJRSfshUAxX27tSq+281HFIkJ8kl5OPF7DiyvxgugzfC0NNUjS0Wxlqfa9xCB3rwUILzQZI4fK\n1EhiTEsmkednltN3sNhtPeNCfK89AoQXmYyRZyQ/zrTZhryBFfaaSuw4a5rnorKuZKdF7DWlE614\nJ9A/7bxqa/WoapJPMFRox0ZdBZfOzcq46qyOe8XmpKbFIg/9/R8MPf9TvBTXl/3pdV66pjuwhb6T\nIjXFL0mYb/DJx3/OufmK4uJ1KztDglq3H6qKhDka+DGa8CDKH97vzc/PPMV+Ht2B7vx3+Z2c1/dT\n1PjLIa7GFaHZ6lagbnYzgAUmj5rTle9n9r0k1xvQS9zz/fQUxI5oivF2aL2hDsBRxKItAv3TsqpV\nueoodsix/ziFx+FwOByORkoNT5m5E02duodAQEhJfRZVP0pQdSEHDfzPlDCVxI0Nz8jYszc6Z/CM\niVTfdkIsmlL09cbUmhWKaDuCoRiqJnjZx7JplQOqwHhGRcDXPAMnZPfxB66XEw/699puVKXwjKcS\n399ir+X+7KLR90ZKeu81bpESxt83PrXo2emVqGK0zR4PO07tbL82A1vIG7gz8vAb6ROmjDt+9Bef\nHAVCZr8fnbgkAAAgAElEQVTBBZFbHy4hb2BLNF7In0RhBzCASMUNZKdttsfqRijl3MzjTiqZ9snc\nzGSqSa4xM3YHQ5eh7mFHoXE1R+XcPfqOyaUl7HUd5WXB8c9Mvqho6Pln2OuHBy8FWATkMP8WJMwq\nex0b8BdKhS387ufNM//ySNZkY1pXV9tmX6qKyWMlcKeEmQScTJucD1H3vRVo5rs/MPbVO82YvscB\nSJg01B2xF3Aymi0uDzgL+B0QkDARNEHFGjRb31zURW4HEGTurhaM/jsS5jvEM9v521GoC2QL1LDJ\nQcXQFPT77hm3XqIGTxVINKBcnclGRoNWeBpS7IyjfmjsqkNjpLGOuVN4HEca+6pp0wydqQexKsug\nodGiaTNh74edmvEqbuT4s3P5DQ4vixfEDZIoECUWjQb6p2XXHNdRDsFgFFV2tqGxJwX8+9MLOL/f\nU/b9fNs8F7WdvrYbKN+fOB8AGTI8yG1/yOGY47VujD6hb09Fee/AgPQbqlVTRKhcUvYioRSv6GZL\n1C2uK2ocLEQNh8XAYpPHDthbXbCxRl1QY+4c1FWsM2AwJoRIFDUwCoE0PvrfFxmjv3Pu1LLSQBLV\nZBi3PLiMy3/R2ncd5wcGZvxftWOuMUQlBEMVwAbmru7HyT1mABl8ue0kerXZhH5N0lGjqBT9Hkj2\nFWe0mrLog5Rkat2Ebr3XFf5rxVQ8o2/X9q8554kVLLgtUNNnIzLJsHxiGpr6+grgXN5bkctZx45C\nVZwM4oZJLnsbK21RZagNaqik42WPCy8ia/JYIgtnAZA54LRY0YSpRfQbHLPbpPquM2Kvs9K+7ymF\n2Pf83/Ug+t37HJiDFqFdaPLY7ur/NC6cwuNwOBwORxOlBHgRW+By3OStqKGxE3UZykIn8Z3s5oJO\nCj9DJ6DL0UnfMcAZQE/gQ8rLZlBeNoPs3AUmz6sDU3NcR05G9rz8YPBvwPfQzGpd7fF20qEZ6CQ2\nRHwym+37638dkDCFxF3fvImr5+4W4pOPc7KnjGsRWPJhiO8P0MnvTVMj9B0MkEEgENFLrWZubkwl\nJ6RemeiOZA2YPsSzw30L6C9h8oFFLDeLufElJExnNNNZDzQO5kJ0Ar8RjV16k/53z2Lpr9ugE/gB\nwKOccs7nkaff/XL8A7d0H714TgpAZp8BmEqTGfh8yQLuHUPm269Gi8ZOXkv/U74mEBiIPrVO/qDH\nVBqi0bEEQ/2B0xnQBdRFax1f7YRebVbacc0hrnakE4tWlCz5MKVatW79yq7EopOtWgctWgf4+GaA\nCqvAeEpaAfoV1D6+dDXAx6ii0gxIZdgxAE8RNyy2oAqO97l6aounLAr6uWfY9TtY8lFxxlVndbmv\nLBI3FBfODo4ZNaxZ5PlZUfoOChL/wFOJG/EB279y3/oVaImVeWhc0Wcmj/Jkw7sbxoyF2SR36xub\nuL1LXV2/NBiFJzH7GFSNR6lpubao63ifw0FD6Udt01hVh8ZMYxtzp/A4jkRqeso8HigRIbPPwF1F\nd/wxynEn5qATyh3ohNR7wt0KVQ2yiWcAg3jMShRYx5y3V+beef3RRZvW9YS9U/Dub7YsGy8xGDV+\nLqG4rAdZaV+hSsoW1NBah06A023f2hFXaZqj6s92dFLtPZXPYOnclhlXndVhr5iWtIzKyJ/e+YKB\np2cAbbNHDU+fMn9m8joy/YbkF/113lx88U0kiXnCi0HSyXs34FjCm0eT176U+OS8GJ04v2v30Wv4\neM2POKn7Cns9GcQLic4HNlNevpWJT92Z+e9fVdwfrUipci3pmVo7J2/ghpzvD8icvGJJq/1RGaTF\nZMOcCWOAa1m7vQ/dWt9j+9YGNc66Ah2JRdsF+qd120cWtkpbFFXdwMoq0klLKSeu/HnuiXGMAdnz\nlqbqjsaChIIVvv28dbuIpxL3jKAyu94zmNoCXbMvP23QlMUfpiX9LIcMN0XPTfdcKNOJf7cr7OVU\nEHfRXGvP6TWvjtMak0eVmpJ7xnQ/Umy71NUNg3ozeBpKcH9DoLo+NcS+1jeNbRLeFGgsY+4MHseR\niIgMyoSZ1RgZw+COBT4Xq2ZoDZsTbBuIxkh4wfPZ6CRvEWoUdbTbdeHT+WUZVw7P3suQSM8k8qf/\nrWLAqSuALbz7uuRMHntG8cY1vUAkJyd3fv73rp7KhPvXovETfsNFX2/OP5n2zfyTXu+pu+eC9Bnw\nKWoExVBF6lhUbWmFuht9BqzIHd7h0nu3be6bdPI76IyKommz3gce5+TmX2UUlsyfSkWV6xkrgUjJ\nDbeP5sZJm6leaWpNPA6kjf2bAYSSTurj8Upir203n27qSL8Of0MVhc322LcBP0Qn+4VZ/Xstv69i\nVXKjbODp5UUvzC5l8ZyNGVedfczU8tLgXp/L8zN202+IZ4SEKClvTlqgAiSFQMDfTy+uaifWnTDn\neyf0nfz5J22SnrvPgO1Fry7KQr8nXwHNWLT+PAZ2WZYwVqn2ejUBxdaC9rTN3UQ8HiyFkrJmZKaV\n4yWTqD5mJhHdLhZlP1Jkf0kwtNKO9Rd2VTvimfuOs2OwGnWzLLaHyCHukhjFZwBR1SBaR1+pSJYs\nwaWubjg4lzaHw+FwOBoZ/lTUEeAW2D0achODx0WqPKgoQ+/7R6ETvd5oPMoy9Al6BlrEc4R9/Qma\n4vmz3F9dMube0pKj9wqOLy1h/NSbOhe9MLsrUMLZF5UXnn1RgFi0mIrK7Pz01MGoV50Qf6qejxpU\nW4FlvLLgZH5x1kh08twSDVIfhho0acCJtnmKwhdo+umpwP+8zF0iEiyCidW6Yi2cHaSvXGCMiVGw\nG5HruYUnp3tB9znp6R+WXPHLx7lxUiHqatbe1zwjrQ1qhEXxavrEolpANBjK5+k5Xbjm9P6o66BQ\n1Whqi9YL6o1wMTAcLfa5245JEHgM2E4smhOJrqk+TfWSD1OJxVIZcFpu5MU5jJsyjtELZgKQOXgo\nkfH3G/IGNsdLg718ocmaPJbIotkpABkDTqf4pqkl9B1URrxeTydUPWtTOOkpxowaAYkGbkYmkUlP\npqPq1mDUgF5FrBL7+fnVrxK8mkeQwfTPx/PDITOIZ/drTlF5MzLTKlEDdwfxZBop6Hcw234HPPXH\nQ6r8qQ69+gLUQB2KfrfSibvyZcIeN7zOdgy8mk1Z9v0twNeoIeoZ3MehxnZboC3LzU6WbEDCTMNn\nFDVLy7jn92URl7q6AXDEKTyOpkFTKJTZ2GjoSo9TeBxHCtU9NR4DxRGuyTLmKU/RSeOKZ0t54ScT\nUSNmCKqUTLdtjsnb8zQbCZOOTuDaoQbRACCPWLRboH/a0ftRaHIjOnHPAXpRVNaF7LTpaDzEAmAl\nOmHsiE4Y84CerN85lC4tvf28uA1QFy+vfy1Rg+0LdPKZhhpEOcAHwAyKCj4InNTsw2oLgYKpXFw6\nltQ0NV4+XHUFp/ZcTizantKKlqSnbETr5njNy1qWgRY0HWTPOQdYwofv9M9+7K6zShbPCWGMyYWZ\nu7l+uDGP7/N3SGSSMWaiSJgc4JvAufYz6goEiEVN4IS0QKGpMSFBue3vWmAjsegpbC7oTqeWJbb/\ni4A1vPePozLG/uDyqRXlob2Ml+dmFNFviKfweZP8ABBhyYdbcyb9X0bxymVHYZCcjMyP8n/33BLO\nvfgs4GzUYL2bWPRH3PRaR+77wXDb/8TWBShm9baW9GjzMZocIQ3IZkt+P9o1K0ANG2/cvOx7lcSL\noZbYZS+jWiHq+rgk5/xjvjl53cqu1ah60aJps6LEayBhzxO1/fDqDxUTd1csJq56tkAfELRCDbUc\ne/5yewwviUeIilgmKUHwEh7EohLonxasIXU1OTAj37m31QlO4XE4HA6HoxFRU8HDcVmzkTC3opPn\nk7n5G6ATtlfQgPlmqEHzDWCUhKu4mGVRNT3xZuAjYtF/UFn5CNUGxwOGMnue/uh87m0eeu8n3Hb+\ne6ihcDH6BN0LIN+JGi8f89jModxz0TnACpNHIYCEyUDVFH8a5v6o0XY6OkEuscc7H/gm2blkDhkW\nmJYkNmcakJU3cFdhalof1DXuC178+Ao+fmpysz8//H+FpZGTwbTPSUldm3/xtdO4/ZH26NP30eiT\n/Q+AJ3X4uZRl867N+Om3c6fEjQiZBsPHBJ5FftbxOv7v16uoGhzv1S3S+jPPjkTCrEaNP0/1KkMn\ny9sJhjIzBp2RM21B8mvJ7H9KqS1qmm7H5VSCoRBtcrHHy0WNqMzsaQ8Ep1SUB5Kl4J4w8brSwtcW\nz03oaybQgf6nti18fWkasWiESEVmfnbGEOAU+4mvZ/nCWPaUscGShbMByNz+2IyiCVOj5A2EqinG\nAdLo3hq0Jm6ctrnYvnoY4rWTvO9bhX0dQ41dT10bAAwunPxi4ZiRwwxlEakat5VeGfn53UtRw9nL\n1hayx84knp0tF/2OeecNUvW77mUxLCOuQlXYvobssVoRi0FKcCtqDHm1olpQDQHgdzB8vC/Vd3Xb\nOg6dBpO0wE9iAoOGpgLVVlHP/VW5GnsR0cNFQ1ccmioNddydwuM4EthXKmqrtmwhGKoE0onGWhIK\nFhF3m/KaV3zUa8XoE29vcl7lb/Z5va66d8Oqbj9NOOfjwIRjjt9a+PrSNajR1AI1nIK+eBYvRmQr\nOmEMoYqN1kIpKQ+SmboFfbruTfq9rFxeQLm/iGgQz8yKT6pjQJTwQjJGDk3buxBolgb69xkQ7/yn\nC8kYNZQaio+W2j5FUQMrF53obs/+4cktpyz7OCupqtB38O6iV+Z/7tsnZ8+YYLPaRWOphIL+ukJe\nYVUtmBqLVvLpopSMq0awd9xUhok8P3MX/YZ4X4EtaLrsjkz/vAcjev9iz/HKSwOBgZl/KDRGqlW9\nFpb8mPSMVlSUtwFak5LaBi2wqUU2IYPKygCBgOeSGGP5wtyMK4eFpkaKk4zdrCh9B3kqivd9K2Pt\n9n50a51vN/8KKOCTr07h+E6rUMNvPZpEYaltS4BNNaa6DpMH/Jilc6/K/v2vcko++TgTkGTJAw4E\nq3YehSpUR6MZBbug7mwdUcUnC/1u6n1Hv+9eko8YQPaVw9OnLJgpyb4n/0brZLk01nWDU3gcDofD\n4Wgq6NTQq2FTwuwvz2ZE73eIF1X0/w0Sj2NIXKd/3329dc7Um84q3rC6y8+Ap4GHUUlhT3D83c94\nBR2/QrOMbQK+5snZd3P90OfRuJUe6KSxF/oEvAA1fjZSEOlHZmouquJUogZMMRoHsxJNSrACNZi8\neIqIr69ZaHzGOeQNOjPy5NurJ/z66szRa7/oDBLIbnXUJ5GJjy+gz4BeqNr0GfB51q3/9+P7IkmK\ndkZKGH/X6NKilz8usX0KokbhCmAtFRXbSj6dN6ra+JrPFjUnFj2RYMhTJbxrqrT9zufLr7twbPvp\nqEFVYlspM//VJvuZyd8vWTg7BBDq2H37mJzmLUevWBwAIav38dsiNz3whU1GkI4aVc3RWJocm+b5\noT0dCoYqERGqe7gdCAgrl72QPWUcJYvmBBHIHHiGKZpwfyl9B21GY7zW8/fFl3PxoOmoG2Lb7Ht+\nUTklUpx87KaMCxY9Nz2KGq+eW1gGnVti+wv6fSnhy21wfKd7gffQbGgH9BTe5BEGbhNO/nXRSx+d\nTkXFSArLrt7dMhs0Zfgqk0fBgRzTkoIqnz3RWLc82zoAX6JZ9z4DwvbvDi5/ZiMvXn0N+l3vAnQs\n+tXvOo+5+pyjKS2poj79GnjHLo8ERsMwEQm6lNWHDxfDsx8c7r42prFoiDRUxaGp09DG3Sk8jiOF\nfaWipv8ppUW3/iFK38Ef8eiMcxg9/Dzg4+pS6/qx1e6PAfrwzqtnZtx0+TVTy8uqZgBDpaCcVm0/\nKbj0+ge5cdJ6qgb2a1u9fTg9WhegqoXnIldEPKVwayCDWKUQDGxAa7S8h04gU9BJvJewoCUaB+TV\nSJln8tiUpP8paMKD7xKLfpvNBV3o1PI5YC7lZekEAqcTShlKLJobOCEtvdoYGVXKygmGvNiRdDx1\nKRYLBPqnso+YJkMwVI5O+kvtKq+4Zxnz1pzMid3/u2cZSpn17+yMn1904V6xNqnpscjUV96iqPN3\n+Xb/t1DVqDlqSLSy/doN5LCzKIOW2RtRwyIDSMkaNULumz8jaba3MT2OLWDjuuyp/ho2wJiU1Gjk\nyf/O58QR7YAOrNmeRvfWM4FCohUZgf7pZ1UfXyRULi0vJRgKokbqEmAJY/52O1MvGYo+bO8O9OBf\ny27jguPmokZCDvHsZ17bkw3NH29WE5J2t2Hx7RejxU1HAP8B/gy8bfKoqLJtmBbEjZk+RCvyEMkj\nGGqNGrieQRO2bVW89lSV44Q496EK3vnFuahR3wvPwF++oGf2Pb8MlCyekxpAA7Ymof54e8YMKish\n1Rk8hw+n8DgcDofD0YioruDhr4G3gU+WfJQ+5vLTo5GJTywgtec5aPHLQRJmPfARmuFsGapceOmd\nvdYZdY/akPPYXX0nl5cFk8QKMW7QMAqmzegG3ETcmPEC/cPADn7z1nCe+8lwdEKfhhoNXvOWW/Lm\n0ke5aMBu4Dw0a1kF6ipUjKpA+WgWudZo2uYbgFwJY+yxvUli0B43CJQSDJXTIguWL7w8a8q4UZGF\nswDIPO6kSNEv7v4ENaRqImCP57koaWrpYHBj1jHHZ01bsaRl0lihLr3WFQZDJ5o8vk48oIRtlrwp\n/9vI3657BJ+BmPPgrRdMrigP7TXe5aXB8U/cfWbRHf8AnUhnoQZNJvFg/DZAJcEgxAt+tgc2Fl85\nZs7YhbMuprIyPdH9LJiWkTWlLLJ3fE9FeWj8g7edUPSXD8NAJR2a90RVmR0YsxRTeSbVx3QZyssu\nISP0IzT1+a9NHkvk7fDtJo/ZdqvpANL377eZ8cedYscmG88Q0r89gXPscjcJU0BVI8jfNnnZ+iiP\nYfJ4DXhNwrQCLgHuAF6QMEtR5bAlauRkA2E++O+W3LtG9yv6anV3wCSrlWMfBvSU8B6DJm7UQBee\nuxLgZlQBWoUmt/iSvoNXFy76oKi5yPTfwfBEt9BpQC7M3OWMncNKg47hOdIVjwMZBzdmDU9xOFJo\nKBnznMLjOJLwFTwcIWjUvv+p8Z5aLdc9k8oZR/8cfcB5JqqatENVAVDVIYIaGSmo+rKLaHRzoH/q\n8YXG7EvF8OJo9nQNr/5MRSxIStAzSDTGJh4A7qkfZXy68Xj6dZxj3wvYPrREJ9he8U4D+GNWvkKN\noUrUAOiKFv8sstfTHCjnuddaZTxwWfnUaEVqYp0a064nD6xdlrzOzQmnlBT95cMganhFUYNrI2rU\nBVn0QaeMa849bmpioHx6JpHnZxbQp38WsJtgaIddnUk8RXU+q7a1pGeb91DjchPlZVsCA9IfKoTk\nsTaBAJXv7ID2zRfba1+FKg/LUANgN/AxyzcdT98OO1DbdxGq8hzDwtkDsh68vV9k8QcAZPQ5meKb\n710VuHJYz31kgttOMASvLGzNpYPOB943eZTVpDL641EkzI+BB4G76DvpIWMmJtSp0Wx17ANbrLYt\navz4m2cgtUZjgDYy/fPhjOj9hr32NniZ79QQwS6XAy8Dj9FXmiXNehhKKY88/I9/MvT8ZqhR096e\n40viRo33ei19J0VquhYRGZBByqK9aj8lFOZ1HB6cwuNwOBwORyPDGLNIRM4RKN8NgZyE9XtqtZzc\nHeAP9u1S9On2EnSi7bmbtUKDsXugmdM+IhadgzF/Yu/6J7YDgGEBVZMJhKr8jZS3JiXDy1iViio6\nXgFOr0HfDhCLnQZgFQovIYGX8jeXeFFSQ7xeCsQTK3hPb1Ps9pVAetaMh7kvWpGarH7QuMxUxmRk\nQrKkBbc/kkK87k+IuBKjDDzdRP4824yfMk5GL7DK0eChRL57NdlTxmaXLPogALTKHHRGK5u5rAw1\nnIqBNDq1AK3DowkXgsEKJCCYSqqlZSaoKtEe/axOsX1rhxoDAY5pC2rsfQfNxKcq1aAzUounzYDK\nmMEgxcEgVMa67TFPkyF7xjON754A8AqxaJp8whc8+tbSsT+7sDRRNRorEik57wf3SZjOduzeRb24\nnuCJHyNhuqJubtYIrmR/YldMHpVYFVHCfITGyOT5Wl/7t43NBteVeB2kNNS4BlWDPkCN6qHAT7MH\nnhaasmhOyl7fkWhF6k13/bRfwf/W/gw1atYnc2erOlw1XIMxixNrP/lrZu1jd8ch0qAUnrpUKRpC\n5jOnyhwenNJT9zSEMXcKj+NIY78yts3YDa1y1qET31bovGwr6iaWghoiqb7XnrtZKGvUCKqL/Rg3\nZDjFz033lJYy4rVTvFbBG0t+yIX9/7RnOXE9lPPmC0dlPTBlQuTrTw1AdqfuawrG/P4/fOOSnb6+\neZnaMlBjpyf6RD+NeCKACF6BS2/7WJRA/zSpMdbmL3PJmnoTEVu0M2PwMIon3O/P5uYZXv7UxF6a\nZC1QGYum8nVRiM2ffpZx9bl9ppZHqhpQqWnRyLRZ+Rx34k40MdeHjH7pNR697Hx7/CygWe653W+5\nd+PaXkkVp4GnlxU99m4a2WkV9rzJf+sqKyEQ8NebAa/mzObd2bRvvoD3PhvMrghcPPC5nO8e983J\nKz9tmzzb3KBdRa8s2AC0Zsm8DtkPTDAli2YLQOagMyi65DqyXv2Tjp2BzP6nlBVNuH87x5/kJcSo\n2sqjzUgNGSDK8oWBrCnjgnvcDDVRQhl9B3nug16DeMZAz6BOtevKiMdIleIVhP1s8wn0ab+Mqln+\nPFfKVOJZ/diPWjlJY2tERC1z3/v7o1btqb8kEoQ7osZMcvesOsIpPA6Hw+FwNEKMMbEWIrOmJXEt\nmgbkpKZ/lH/bm6fw+I8fRZ+A90UzpnlqxXzgr2gygHBiNitZ9vGQsSIzMSajan2TDBMZ8XPPcOoJ\nPIU+yfeUHG0fr/0hF/afx95GVSqQyftvdMy445of3ldRzkg7OZ/21eoeY26+4oZI89ZzOWlEqd22\nJWqsNbfL3uS2iPikNpO4O12UeBY3LytYcvIGRIuffT9AaXmAsgqKm2VttscP2fNlEk/pXUjc0PEm\n4EUEQ6lkpbXPfvC23lPKI9xAfKauMThloXFTb25V/Oz7rYCxwFge/iHAP4kraKbgwdfMmJFnJFGc\nsojc8lAqaSGIGzFeGmu/8gXlMSE94PUzFS+eCSrISAXozbDeUFYBcHbhnU8WjbnqzDaUlSYmLaiI\nXHvLX4E1vPVC64zbrh0/JVYWd9+bP5Mxy+ZT/PyMIvoMiBCtbFOUlhpEv1f5qNuhF39VBAizVl7K\n2X3msXzBgIyRQwP3lfoMwwUzZczIoWmR52dE6TdEU3PH04971x1Djc1C4nFVQvzzDwIpVuXKI24I\nlaCZ/YqJp1/X7HnGVGLMt/b+YiTHupLeH1B1iBYie8X67A/GmJiIeyhblzQohcdRezQEBau+aQiq\nw5FGfY65U3gcRyL7iguAOxf5nzrbWIiuaNjPVagBtAt1A9sOLOf9N7bl3n3jkKKtXx1jgGZQUAC5\nIIEckRn51978LKVDn+emb7yKTvxaoJPIV4Hngfkmj5J9PfGuKQ7kpvZdPi94d91naJat1WgGt+W2\nr0cRN9r8meFyUDe9SmxAf9aVw0P3JSne+ThwU0YOBU+/s44TTm7HzuI0isuhc4vVqOLSEp2wb/W6\na8+1HXUH3IxOvlVB+HDleYHrejPLGH4P/NfudB6aMeIMjXmK2lTVAYwRW6PIjyG80GRPHiclC2ep\nkjJ4KEUTpqriFK9rpNtW/asuglW3STi6XefN+7ztwovImjJuj8qVOXgoRePvr7QFRMkeNTwwJUkx\nV6v0meLnpkepNCkEpBQ1RLzaNBHisVe7CW9qQ16Ht3O+P2DI5CQJHx4HJvTM21j45vJ70c96JWqw\ndqFqWvNedjmfvWNpVnHqvfPM7pv2+16w3/FIIgOTxfrY/7WhcOfC/VV4El87Dj+N2uCpLZewpupa\n1lSv60Bxhk/dUx9j7gwex5GKyPWmOU9OL/DFBXhFF/c1qZIwXYBfAqOA6bwxbWXGHdeMmRqtSPFP\n6n6VkhorveTRILddMwpYzuDfzTclt4o9RmfgRuBa4irPcl6cN4gfn/hjNDPcWn+Nlf0soFpEMJRm\n3/aezkfwatbEXZo8F7koGqTeE41p2c70Ge0yxl1gpiapg3Id8EB6hok8O30rHfu1IzUIOekR4upC\nsnGrJK6sVOK5uO0obCZDm9EKw11A4rl2iGCWlscIhgAClFYI6SlfowZTNvGEDWosxKIxKiqDpKdW\nogrTeiLl/clIfRlNUuD1zfsbAK7m9cUtuWjAg8Rjm0J4Ktg74cs4N++ffLjqW2SkwIAuYeJ1mNQ1\nr5IQKSEvTsVYt8CUfabgDgSTGXBVMQYqK9mPlN5lNqW1V6jVU2m8Arq7UGO0kHgNI0/xK+bmvz/O\n77/3Pbvs1TkqTdLKTR5GRAZkwuxqDJk9yQT2ZRjt5s4RzuBpuDiXNofD4XA4GjUd2GXMmRoX8Ovo\nLjNpvyu2mzzWA2MkzF3A/2X/7cmJU6IVewdwV5QHx01/lOLbrjkX+BWzxyNh1qBP4r32TeBkVNTY\nSkEE4PvA/QA22Fzbs+8v5ic1dFMnx9MIshs1dLwMb/5sb14LoCmmz0Un7/9CRZZ8pq17J/KTcdfe\n/MRvH7ixMpYjtpPvoBntOpdG5KYxl+wuyJjQjvxSmDWuM2p0tEXrEQ1GVbCeqIqUTTzhQsCez9Ay\nm9ycXO4qzN+7GCdwc0pqJD8Y+jeaBrwTqSGvWKvnluXF5ewEKgiGIrw4tzsjT/4OOmFP5Y8z/8vY\nc85HC4uuxu8+6BlKpRX4xkRdvDwXvIAABBCBmAE1GMr27B8MpbKrqCutszWxAqSAxqpU/zkB8BU7\nijvTOjufeL0iz20saN+LEY2lECAxq9/exzPMRQ3AGF7ShHgsTiaacOBoqibKiMcK3XUhwN+IJ8iI\n987KCcUAACAASURBVDSOZ6wblpvKkuULzfgpYytHL5wdwEDmwNMqSibcX0a/If+UMBXEohUBCfQa\nmSSphFc4NJ5jw9EQadQGz6Gka/a7fDV0BeRg3NO863bEVQan9NQdbswdjrrnUOICTB67ROTeErhr\nZJL1I4HRm5fC15tu5qgOGznxnhjL7vgG8QxZ56HxKceg8RtH85NTQSedF6OuYAPRzGI/4MQRfTL7\nDSma9un83GTxR7nGTN91QuromvosYbqhNsVVaBzSz4D/2oxeus28tTDvN88VwpO7iQd6VLmuLRuP\nZdF1tqtsRifDu/GC4HU5BVWRvIQFnrtWCEinIhosLCqk2rGrqMggFr3IpvG2u4qxx6u0xwmhrnMa\nk/P9AaDGzXYgn0FdAJYCE4D30TTZ/oQRQSIVoJn4vPfi69/85FLO7vNHnp5zPhUxeH7UL0lMNnHx\nE2uYMbbXnv2CwYqcYGjWtMry05J9TplDhlIUDDWnsBRaZy+w41eIGobdUPezALCFr3Z3o3vrLZkD\nz2g3bcFMSXq8gadVFIVCO+11z/KrgvuLyN3GmIka8BTeY0wmiyNLx6tp1HdQdtFzM7IpK81iyrtP\nFd3+rTtQw6oz0BF/hj5Ho6RRGzwOh8PhcDjqCBFoddQ8oAX/uhHgCWCdbe8Cz6BZ20LAMbw0/zV+\ncmp/YAY6w1+HKkFvA48U/eD6rmNWLLmNBPe5MaGU8sjVE56XMGkmb086Ye2CTmDPRl3oTrO7nGry\n9tRYqRZPAtj7uoBAwEuJ7dUnak08LXUZqjLlo/E7nmud10r41ydXVp/f2WL4CFU+Ulm17QyObrsL\nTYzgJVvIt60AyCIY6IHGr3QCYnRsAWrMvAJciHrLzbfbFwBXMW0u5r7TJie9zPdWvGzy+Jd8tFq7\nk8fcPet0XNvTsw3Aj9AitHlAXv6Lc9LHXDEUypJkn/vZXSuATrRvBmr4HoOqMc1R17PP0HpAYW57\n40/85eq8opLC48YEgv+jMpa2Vw2j6277N7AW/W6VSpiHgJdMHqVJrylJtrQqQ64Gk2eoFifbxl5/\nW6A/aeldGNgV1MWzi+3/YoKh13Jym181LX/ngKQGOszcTWBEdcd31D9N3uCpThmpbVWnJiXpUM93\nMPs2dNWqPvCrDk5xqBuc0uNwNB72lfUtw3Sh6LhQewmTzvUvRvjPz36LTgq7oskLutrWEdjJwC6g\nE/LZqKtbDjphDwDn872r+0Z6n1A57q5f8dNlHwBCds8+GyO3PPQpp5z9S+CPEmYp6ga3xB77clSN\neBj4kcmrfhK7h+WmXc5prT+ZtntH/6SqQu/+O4peWtCKdTvg9gu+jSonUeAM4HTb99Zo7MxnqDtZ\nASoYaSszZHXqvmPahtWtkp5j0BmxolDoZDybq9dRoIkivHiUfKrGIsWYt7YHQ49egLrTNaNFJsCp\nqPKQhhb03AmUEosGQdrw3q+QMEXEjaB4+92FSJiHufWbkJGChHkVzX7XDjWqKhh7DqjX327UeM2n\n7+BOkSfeGzD+kZtjoxd9EMRAVpeeayNXT3iGgae/D3zJoN9tMWbiHhVEwgRRhcerkzOUW88D+Iq/\nLcyPzJ+xdMJvftph9OoVnQCyOnX7MnL3szsYMuxc7xB2rH8O3CthHgceM3lshoPPlmaTdvREPRr7\n+1o6+h1bwqwv4fzjLgFWmDwq9uybv3POWP0uJ4v1GYsado4GSpM3eBwOh8PhcOwfu2FM9ZO6b2QB\nmDxKZf1OTB7vJjuGney2Y/LbX/Hi1a+jhkoRMAS4Ap17RIA1FBXMo7j0DBEbFpOWnklmdh80vmU9\n6nr0A+AXqOvXLmA6amj0lTBLTB7lEqYFqi5UbfNvgU8+XlLeok36mN07APbOZvfZonP47O1FAOYv\nF/zTdynLgD/aa2oHnImqS9fYa3gXeA94j7ueGlPB6sxb7I5VlAuRssjIX76IGhKrgbeY+Obv+c2F\nDwPHoQZBJ1TZWIsaXFv4cNU3GHr0a/ZaO7Or5FpaZ7dElbJNQFfCC7tk3zsGW+iUjP6nU3zz1CB9\nB7VDjZkoXpKFb/YDGM0PB0O0EjRTHzrwBIFsjm0HGgvlqU5lQAntelP0/MxyYtG1TP+8T+HZfWei\nmezOBAbz3f5ImO+jxlUhcUNrJvAvk0el9P3TSJZPzIX/Z++8w6yqrj787lumzzB0BpAqIEPvioKI\nqCiKikZjVCxJFBViPpEoKjADYidGjRGNUYPdYMNCsVBVpHcEpZdLn95u298f+xzunZk7A0yhrvd5\nznP7Ofvsexn2Or+1fovG9OiXmvPFulQ+WjyJlnXJ6dasLiaQW4QJAJMx9U71rTEOB0apdXzFpL99\nFgeTnyz+G+03EuYrpfpCGtZ3FoOpv7KDmi5AR0yK4AprexVYDuyw0+fUF6v+T0+7djUlMCYgqu9o\neC5S41CxmT65OaVd2sqjuh3KqkPREVe144coDieG6px3cWkTzlTKc36qiBOUdfX8uZKub+EW18fS\nZLHYc+twYQKGNBZ+vyHursvOnRTwR5VIbdIFU+YFaNfNLno/gFlEJ2KUllxM8GM3GQ1a2w5glbVt\nBDbSfcTiuIJ/5k2C+A7AE5h8Og3E0pA8dne13ewAjmaurPSvlsDFmADoovgbL6j93Jof6IlZbk+3\n3tsRWN+2i79g6rIXgdd1KusjzY0VsHUEOh3eCnzdiHX/iqnbWcl970/g5Zu6AUOAu/np21Wxw67o\nU9JR74GYOAreng+pXX2EAhAf+3NaUTfRy8HcKA7kQZv632MUokxrTgt444fR3Hn+y5ggKwG/LwlU\nIgfze1M/qQDIIDO/IclxxkjBBH5+inwuot351tTa5xXeeNRPntdNfNRBQk57+Szd1pk8L/Rt9QFG\n3XJZx062vuvG1nG81vPuhNv7UZZN9kONW/yWfd8nZzO40xrrO9pIKLhZAazUqWSU+/0e1W+7dOPQ\nY/03IS5txxdReARBEARBOIzWehlQyvWtKq5g61T8wGS1jvcSxw9b9UzAH1XK1awwX42aONyb+95P\nMzDrlLMxaXKJmBqYGMwi2K7LsK2XG2PUpAHAGuC7eMcsnoN4+xhfYYpyXgX+RhTH2jDSOgdNqO/L\nq+p3d7kK1vzouxmzIp9GqPFoEZD4ywoXfl9LXO6xap1V9/PgJVjOeAWEGqkWYPr+fA58wLB3ZvHf\nOx7FpIa1ZlhfMGYF0UBewisT+j3r9zkizB+jJo4ozH33hzXW0zWBs8jMh7qJrzDuy/tZth2d+beL\nS56bmvTtaP3c+cPtlLFsK2UstnMf8tq0u0V/8MonSj2rtR4XD4fVvFgG/COH+aPaEZ7mF9rigZq8\n+cMLDL/obYySkwgk4VBQNwGMoYUdwNqNR20jB4f1GgQC5C+dX7Y5xK4tLVm4CQZ3GoppplsU4a2V\nRhqHnnqckgFPSQeytGGl1ZHqVkmqsjZIlJ3jj9SWnBikjkoQTh2qdVHXTuXlwVllLlxXLYoj4O+B\n02X3WVkDpQrXY8I2o0iYhXEscB6BwHkFBb+VWhw7MRXpI9R21Cr/Klwuzcd3gwa1jmWE/IXtnjsl\n79uYq/OD/hAfN/Xf1LKeHAiMx+RPHX6bUu0IpY45uLwdGHc5R4nNdoRz8fpQgA+s56F9QzDBAgQC\nMfnLF5S98F/xYxTt1Ll2Mb9aRzTjvyrk7Tv3cmM3ePIa1DrWAPPsTaeyG0INNouljK2Yz8gV86eo\nDydvtVPGAHQqASBXHcpHp7I1wnBCs/DKvBf0vy76v2LPtXvTVtbalPvZdbiBODIP1CYY/PXwnJRE\na83nK5X+bMgxB7LC6U2lAh7LHWMJsFNrfZVSqhbwIeYKy1bgBq11ZqVHKQiCIAjCmYMOarxFdxHr\nsoOP8GDjaO6Dr6gGQf3JEY5UCLhxOMDlAGMkYPd2Cb8Nv2/3//GxerGOvWdQ4rMUr9u5FJM6twiI\na9ctK9fp2kXILczHOk8TGtRYh0ndqoUJZBKsY5jePKZvTjbG6GEX09f044oO/wA8+H0HCAZfp7ye\nNpM+dKt1BHUqWqdSpJbtQKfypGr33hM4FawaextGwbkR+KdaRyYTBpP0z9fffXrvzvhSyhHEj4bn\nTsSizjIPyIL6WTWhTGMNcUsTyqKyCs/9gN2pF+Bh4But9TNKqYesxw9H+mBVu5dVaj8nWGEpUy0q\nZ1ylFC1RiSqEKD0nhnGky5wLwhnMkRzhkmBORrf4GZU7ShwJNGUKW0vVexx2nevo6gmg2r1iKw1n\nl7dHq37H7uXirjG0z5dPeYt6R2o2+mdgvdNZVPDn0f/DmDA0xziiJdOvDZgaoCAmLS8Dc6F4P6ae\nJo/PVt7GdV2+xO4bEx8Nxvq5C9ExUVYfo8SIrnDdL9S5A2/IAVxqHT7Ay49/Q61jL9/+FXwBgHcI\nOcNtBFy0T2mZu2/3OWUqRydBg83yjTXELU2ITIUDHqVUY4zDx0TgAevpwcCF1v3/Yrz3IwY8giAI\ngiCcuRzFwrXS5HEZI3k1r+QxHsBNAZcd8/6s+h0v4FVKOXPg3HKCA4LvLYymfffbMAHNdmAGsISb\nX3+B9/9cR6dyqKxjqXbTbtNjutwaevy+1nrcpYcfr1ncpcz5WzK3j05lebEA7fIXc/jxoU7c+oYH\nlxNm/GUIoSacpinnMzNno4PhxgMnHeKWJlSEyig8zwOjMPKvTX2t9V7r/l5CdoLFSJsc2d3saNWK\nqlIxqtNRrbrd2krNnyg7lUKUnuOPzLkgnNnYC9cHabb0PrYGSy5cq+YoKeRDqcVxAXdeBClH/nil\nUOB0JutUskq9smr3C+UFO0dDpIV/LE3JZ2sfe/6KBWhZhehU9ihPNtZr60uN66etJMHckz1lrCxj\nDUEoi8hFX0dAKXUlsM/6BxXxKoA2ftcRPa/TvjDSzxwov8JNEAShDLYS+jsy5wSOQxCEiqO1XpbH\n7QQhKsgYMrTuX3XBTugYGVr3Dz9GVQQ7WutAkqknKcUUIJam6Ou6lAp2qpKS55bH7RVyngvHUt7y\nJmN7RxvL55GQl1lFyltVYUwZKrSUFc4wKqrw9AYGK6WuwLijJCml3gb2KqUaaK33KKVSgH0RP/0V\n9CvxVESntQr0ujkWZaWq6ociHbdcdaYaFKxIcyeqz7EjqsPxp6Jz3szabOZW6agEQTieHA+b3+o4\nRllpeRVNmasoVXluR1KOJGVMOBWpUMCjtX4EeARAKXUh8KDW+lal1DPAbcDT1u1nkT5f1mL8aNO0\njibV63gX9R/LfqvDYEFS3KoWCXyOPzLngiCcapSVlnd8Uuaqj5IpY3k40HqcWD0LpyxVpQPaqWtP\nAZcopTYC/a3HgiAIgiAIpyWR0vJO5WAnHEkZE04XKt14VGs9FyubRGt9CNPhuFyqWn2IaIJQBYrH\nyWT1fDKN5UxCGmUef0TpEQThVOR4pOUJglAxJGwXBEEQBEEQBOG0pdIKT1VytCpGVakdJ6tqEmlc\nJ9sYzzSkUebxR5QeQRAEQRCqAlF4BEEQBEEQBEE4bTm5FJ6jVDGqypGspINbqedPkKpyqtcbna6I\n4nBikHkXBEEQBKEyiMIjCIIgCIIgCMJpywlXeE4mZaLMvj8VGGNlzutYmoieTPN3piCKw4lBHPME\nQRAEQagIovAIgiAIgiAIgnDackIUnnDFojwVoyz14lgUkKMaz5Fc4SIc/1g/U5nxlLcvUXZOHKL0\nnBjEMU8QBEEQhGNBFB5BEARBEARBEE5bTozCE0GVONrnIj1fXSpHVbq3FVO1jrHuprIKllC9iNJz\n/JE5FwRBEAThaDnhpgUV4Xg1Hq3KICNtWOkA6lg+K5z8yCL8+FN8zmW+BUEQBEEojaS0CYIgCIIg\nCIJw2nJCFJ7K2spWleJxvJWTk02p8eoxAESpCSd4JNVDZc6vMp8VZef4Y4wMBEEQBEEQSiMKjyAI\ngiAIgiAIpy0nROERW9mTg8ooO8eigNjvrYrjHsv+j7eyIwiCIAiCIJx8iMIjCIIgCIIgCMJpywlz\naRNHq1OLksrHsSggVaGWlKe8HGn/JT/r1WPK/IyoQoIgCIIgCKcXovAIgiAIgiAIgnDacsL78IQr\nPaLyVA9Hq0AcjYpS1nvC62iOVuk4FmXkWGqFSr63vMdVoc6IsiMIgiAIgnDyIgqPIAiCIAiCIAin\nLSdc4bER57bq42gViGNRWipT03Os46qq/UVSc0SdEQRBEARBOL0RhUcQBEEQBEEQhNOWk0bhAXFu\nO95Upn4lUg3Pya6WnOzjEwRBEARBEKoeUXgEQRAEQRAEQThtOakUHhtReo4PlXE+q8p9nQrqkCAI\ngiAIgnBqclIGPDYS+Jx4qrIR59E0+5QmnoIgCIIgCEJVIiltgiAIgiAIgiCctpzUCo+NKD3Hl8qm\nmEkTT0EQBEEQBOFkocIKj1IqWSk1VSm1Xim1TinVSylVSyn1jVJqo1JqllIquSoHKwiCIAiCIAiC\ncCxURuF5Afhaa329UsoFxAOPAt9orZ9RSj0EPGxtVYIoPVXDkepkKqqyHI/6G6nxEQRBEARBEI6F\nCik8SqkaQB+t9RsAWmu/1joLGAz813rbf4FrqmSUgiAIgiAIgiAIFaCiCk9zYL9S6k2gE7AU+CtQ\nX2u913rPXqB+5YdYGlF6KoetjlS1WlIV+ynPuvp4cjRzc6SxigolCIIgCIJw4qlowOMCugLDtdaL\nlVL/oETqmtZaK6V0pA/PCbvfzNoEQRCOha3WJgiCIAiCUB4VDXh2Aju11outx1OB0cAepVQDrfUe\npVQKsC/Sh/tV8KAlCVd6ROU5MiWVh+pSeirDkeqKKqP0RDrPks8dy1xUdQ2UcGw0o/jFkrknZhiC\nIAiCIJzkVKiGR2u9B9ihlGptPTUAWAt8AdxmPXcb8FmlRygIgiAIgiAIglBBKuPSNgJ4VykVBWwC\n7gCcwEdKqT9isk1uqPQIj4JxpEs9z1FwOigSVd3jpzIq18mkjAmCIAhCWSilnDD2RA9DEE4YFe7D\no7VeqbXuobXupLUeorXO0lof0loP0Fq31lpfqrXOrMrBCoIgCIIgVJ6gtZ3eKKW61lRqtgO8DiZQ\nU6nZ4DnRwxKE405lFJ6TCnFuO3YqU79SHcc/kVRkDCfDuAVBEIRjYTcmAFAA1FTjZ2fCA5B2YodV\nDSilusbBvCchfigAminQ7wHeoIA7TvDoBOH4ctoEPDYS+FScilgwV9fxqpNw44MjBXuS6iYIgnB6\noJTqGoubJ6HfUIyJ7BToNxLm57MbaHi8xnFc0suSYdKTED8s7Dlz38eDzKr244cjKXXCiabCKW2C\nIAiCIAinCskw6e/4GAbEWdswYBLExx+HACBSeplSqks1HcuZDX2HRnjtZiCfrVYQUr2Ud87m+Kd/\nWqFwcnDaBjzjSD9sZmCrPUJxotSEMlUIrx5TSgk5XRSLsswLqrIB6+kyV4IgCNXJ8Vr0lhcADAUK\n2EZ1jiMsvaxfDjhy0DwJ/eJgvlKqa9UdSYNHNcvbxDVKWXl7FsuAq4BagAKS4dvqCrig7HOOhh+S\nlVpsB0HxvEV1jkMQ4DQOeARBEARBODk52YrpldJc1u9X8Kj46th/MkyaZKWXlVSXkuG5Cu3Uo9x4\nVEc8aige9fz3/3uLQ+ueBlgQF8sdnZuxfYr11mXAZcAgIAvIgWoKuEJEOueeQCzEPgXd7SDoObZS\nneMQBDgNa3hKIjU9FeNUVCiqomloWe/z6jGn5JwIgiCcbJRXTK/Uq1211suq+ph6NzV79WX3lN9o\nPKzEa1OAAd0dfPn2BwDZeFQmsAqYCcwGVpKiCyt6bKWU01GOunQfXKiUcmqtA2XuxKMSeve4Ezxq\nONAZ6AK0BbYBy4EVT7zUh5Vr67PvwLONAZZuUV1+c/EzftzTgAnYNTwG6378aBNw9S/juA63+zFc\nriB4VBLgqlv7QfCohpg1pAtwtW11L3hUZyAeSMgvIDEHLix5zuOAJysyjqNEaoWEsjjtAx5BEARB\nEE4eyiumr4pFbzjR0T7wqL8Bfxs7jm9vuNV1I/ixF+JTgL85KXrr7sTon5bUoE+v7cOB1tYY0jH2\nbU48ajewCPgJWA38CmisBX9q63vJ3KC6dGn/J/CoXr173InLGQSPujj3N6JqnF08vSwcBapgC/fg\nUU5rf8nAWd980Bw8aWuBFCDh439/aE/VIWAnsM7ahQvoce9ti63A5LnpgFPvpvmSlQQeGk3hnBUk\nTo1w7KHACAcX+XeqLJcTZ/5mF3jSvJgMICdAweaJaOPxcBBg17K/gwm0rOGj1sz+F5jASwM6KgqU\nAxWeJRgAZgAfljGOowr8ykAp1TUZJjmgL0w47L6ntV5+rPsSTk/OmIBHlJ7T3z2sKuy1T/c5EgRB\nOJEcSe0Yrujn265ec7sJYC2erQ3rVhGmLBxha5T5ixPgYWDXoIs55703Y3j9tVw9YiEKBQO6U/Rd\nGrnNmxRFx8XsBng57JhOODyORsB11oY1Dh9Q8PNyvCnxr1G3LcvgdS6+gll/uu0rWjSJAXgkPg7/\n+e3JmLKGWpHUpT4dyYyJ5g6gNlDHOu6euDgfmKBmFrDn6ZcveOr59JmvAv4IW+DtqR2v9wccXHXJ\nxpcw2Wvtu3fils8+Ym/N1syzxhwZzW7g4Nffn33+dVf88iqQCeQCeX8eddVL+QVuPnjl45uBmuOf\n7zt5wt/mvGbNSRN/gOZZWe7k2rV8i4DtQEuXk3MG9iJ2yk/F1ZzqYTeRFMORJk2ub3UohsKpxxkT\n8AiCIAiCcHKjFEo5+D0m0AhSPMBxY4IBPybY8AJFYbf2Fg00AQILlzWm33nbvgYKgILmZ8V1+uLj\n3G8eSLv40vyCKCY/Pf1uIP+KW6/9KC8virmf/Pc84HLgbmAxMJYUvQIAj1IY9acvcBHQf/FKEgZd\nR+3HC/1Ms85hygqS7l99gJop17Ft0bZLSNHB3/arnqMczCFIbLi69FgM+qPHWAHMxUpNA3aQovX5\ng9O11uN+Z8/NP/6d/tTzr814qay5+3R6ui2enIUJeAYDXRMT+POlvQhO+RlnpICrdX3WuVx8ArRp\n1ewQwJ+AfIyS5B09fD41kwvst++6ov+vAC2/W0BMejpn/bSOZJSPy3rSY0I6Pbt0QAOF6WkELr0G\nBwUo+5w7WjuJNI4kmJtRAXUnnlk8F1ExrJo0OeH04IwLeMKVnjNR5TkaTvV6lcqMvazPnsrzIQiC\ncLKgtQ7UVGreFOgXadHbvBarXE4+wtSodAHqYepplhMKCDZhAp/YEltb4F6MSvIWsOrjr1L/3e+8\nbaus15NbtzwIsLdL+/3ExvgAbgBix9w/n9hYnz2MWMz66DLgKjxKYwKAfKzAydo2P/QwqY8Xokot\ntgMBvmz8EYAXj/LvWo5r0QpyRj+Cb/hKEtGoZrVYcfO1PNn/ApaX2K9SSjkqUovywLAfAJ7CpNx9\nA0wHXt+WwfgHcP8AvmLpfA+78P7v72y1zrVpauv9YIJGP1ADiG56VpZJzzNz0rxdm/0sXEr7G4eS\n8nghjhkAGqYsRA0YTHDmZ/i7d8LdtQM/fvwOMenjaX3fShJBOeLQi0dCByAmfBwjIc8Rxyg8qiaQ\nZB27Rtj9iM/5/dQoUjDU1gDDqGya3LEgtUMnP2dcwCMIgiAIZwInchFW3rEz4YGRMJ/DKUiW2hEL\naX/lbVJ0yLXMo5IJFelfCPwVaAlsIBQEbQeuBa4AngBeIUUXAfzzjfR/v/Sfr5+x9vWXT6e35aZ7\nVg8d+pf0WwG0HjcIoPfgdG09blNssKZQfyQwHGNi8C9zCsTm5BI/byVzv4xwjkOBEYvAH0C7nOQD\nhT074/ruaxL9AfwZmdHuurWL6gPPYlLmooDYJSuJSx9PlMsBMJ6BPccXpY9jX6+uZC36uiF40uZR\nPDgqsD7b5NC6aGokFQHsAH7B1BvVA+5dO4d6M2c7eeklX2DEIlObc/m58N1YdLeOdAX2Agtf+E+v\nwSPvXjgB2IOxzdvToNODazMyY9E6zYVHdV++psHiZ5/d3jBioFeE49ExBGZOYwqQfeF53PX9dP7l\n9VLw4n96jnvwnp9X/bSUBhMep8GIRbgB+ndzMu/xgKNbRxZh0uiyrC27xK19X2PqnBqgaIcilPR4\nnJHaoVMHpfXx/ZUopfTJ0hXnTK7nOVWQmhrhaEkHtNZl56gLwmmKUula63HKvg9p3ZJhUjb0BeVI\nQs+p6CKs5L4j3S/+frMAPNKxrfc9lwP9lEIlaGbXa3ndRRvmf+wBHiNFv1HmoDwqFqMSnIuJLTph\nlrzbgKWEAqHlqmHaPq3HKSsdbc2FQ25PnfvTm8rMExSft9DjCMesgzEYuwkTTOT5A6TGNqVOVtBY\nLoeTDySi+GWBrtuqBedh0uD6Au2A1R981u7c31+z9m2gLtAV0N8vYOOQmzn3KR/u8EDwQUXBnXdy\nx8ZNN38w4713/wQ0sPbTEWiGSeEL+v1EBYMQFQWEQgA/JuXPu2d/fM0GdfN2bd6W2Mjp1DRtnLuf\nkDqmgKLMrOjY5BpFBzApgxpwZWRF14uL9RIdZXbp90NsMyjrvGs4oGAbWS4nMZgL6wrI3bQtOall\n08xfgIbAc/kFrOg+8O5p2blx7Fz6fA0glxRduhmSRzUDLsakpvUHCjFO2w2ANh161ah9346sUmly\nk4HRMDtD62NKaSvrt136fXfrOF7Lm1QicB8JefkQsXboaP4NCdWD9OERBEEQhNMAo6rs5Pg0uIx4\n/KNurqm1Xpahdf89a2i7Zm4yGVr337ipA0A/YCweNbKcQ/kwqs/DGKWnFWbtfS3wFVAfeAT4dfuS\nv4NHTQPeAJK27Khh1+KEj7t481OPisOjeuFRd+NRk/GohcBWa2zfYwKILi4n79V0sGAKpTF5cU1p\ndb4+QIr+ghQ9ihTdC7NIH/vrltoATYE+GDVl4bg02j7lw12yV89zmtgt63l/qnFpewFzfecG1y2K\nyAAAIABJREFUTD1RzOIV5F05BHdsU4hrDj0uYPvUL5mMcaJ+GfgE+HHztpoAWS4XJCX4waSFxWOC\nokLATvOraY2zIVAvOamIKHfo4vhRXicPYJQnL+b7imvWOBPgHExK2vi4WKatnfMqO5Y8D0Y1K8Kj\nCvGoXDwqG4/Kw6N8wG/AJKA3kGGNeZA1RV9eOugsHnbjm0wo73AyMMpB4c238y88qrH1nVZpcBHP\nLKq8t5JQbZzRKW1nunNbVaon1VX3U5l9lnV+RzNWUZYEQTh12I3VxLMvvM45EN+L0NX341XAXbbd\ndNnHrlOLPVHu/NATKXojHtUHmIVH1cKoPWaJbRasg4BnMClYg0nRS8J2t8ba3rbff+GQ24ObF774\nX0yQkPPzl/8BOPDNh//li28S6dAo7RcntEaNp+vZ8fz0Zdrm87rRAKPi2DVD7wCrSNHZh4/kUU2A\nsdO/pOvAa4ECKH6V38VZZ3cFj7oCEzykWLcNgAY3XbMaoBvmwnMdv5/khb9QZ2aEeR0KjFiIion2\ng/labbc6lqwkcMV11JhQAB/Zx99Mk3vu557mTfB364gLE80FunbwALRsUDfP2FebNWAAUw8VBRRk\nZMXSoF7eQUzQ4wAOvvxmt3pvftCJpbPeqAdkRDUd52tTL33tlH20i1SHlRBktsvJTKAzKfoma74S\nf91SO/ucsw/eSYp+07LgTu416I8HenbZyT8nzvwco9o1JPTTLQT2Y4IcNyaQjcKk2u3GKFt9/vqn\nbdx4FTnp40kasdisawf2Qs9Nw921Ax8R7k7nUVjzF7TnhZDTnQ/wbvopGTxp6zG1TIVhW4F96/VR\nWHgS1A4JR88ZHfAIgiAIwqmMUqprLG6ehH7hC+5LMQUntqxS3YuwSjTXzI6OCoBHxZiWN0CK3oFH\n9cUU3Ne0mm12wQRN9YG/AV8dDoTKIkXrLdvTAeZhLJT73Tt60IpP3/jwrV2e3Afee3cLEwpoMxRM\n0f2veQy6jiaTnuKpO37PJ8BauxYIj1JWPY8duDQG2nbriPfL/5EzYSL1R/xsDjvwXPS0+52qUcoc\nMIVM2RjhodAciZy9B+I5u3nGVkxgkYQi/ghTHI5tm+1IH49zQkGERp4FcN8I9iycy7+BGKD2d/Ob\n3zVowG9bAwHVZu3G+nRpv/c/wBKMgtITGFYruaApJuB4665RzPjkfe7PCC6rB8uo35RP772fN5fM\neBUFrS+5miBFOMJ/d6McFD7yEB9i0v8exKMuw6w1R2/flcQ5Zx/Mw6Nuwyg97d//18c0SskGk6K3\nAfOd77E+UwfzvXfEBDr51nk3tuY0G8jZsbsGvbvnLPvqUwryC1HfzGtx5dWXbv6O4hblTkzQFG1t\n7rDNfk804DyrUTYY9Sw8C8r+rSkApwPUCawdEo4dCXg4c5WestSLiqg1x1sJOZoxHovjWklFR5Qd\nQRBOBYyq4ovUuZ40OGyVDOBQOAq28AQe9SXwEynaf7zG6XDgKNrKJquB5/6wbV9evpvo6MB1ndt7\nwKMaA/tJ0fvxqP6YHjSbMQveNOCNI47bo9wYx7bOf087F2AhZhH/1Z03LQfITxsPEQMFL84P3uX/\n7vg9I4AEK6UKzHpJY67y+4BEjEKQ3asrrvenuImN8QXROFwufBlZRAWD+QBtCC2oo6x9+Dq23Qtm\n4Q6gXU58A3sRFalvzRSgX2fyNm+rEd+6ZdY+IAGIDQRQM34uu5HniE009gdIczkJAAU9uuwGiNuz\nP5E6NQsArgduxyz6AYJW0lfcslX8+dNP+PPjQRhqreqn+Dh/zMucP+jiPXTrRNaXUylMS6PWiGVG\nkbmwMznTx7Htgp6MxigmN2MUlMbAWY0b5AC8iOk3lAns/mVTHb77oQV33bxsJiGlJcmat96YlLjP\nMU59Put1NyYYqgvUdzp0x4XLaP/449SfuQiF3sx5qXR+6CG+HTSAJcAWYFfY5/2YwKWmtZ96YVuT\nNevrXN2lw7791jjtsMZJSCkKOp04LusJUxZWrcW2UH1IwBPGmRr4lORELvbLS0MLfz5KTTjmtLPw\n99v3bY5mH0c7NkEQhOPBkVSVEYTylaYAZ9VgaVQUPsyisykeNQtT8zKDFL2/MmM5kt30eW3Z73IR\nhymyzwt7uZm1jPzLW89/BrAIqItH5WMCigSMMpKJqdX5Cx61j1DAlItJg2pPyM2tLbDD5+fXmOhC\nMAvbt4CsjMyYUT4/vXZm7KfMeVtOXCAATidgrvqHk2ifsnVbGyA+1ofDgcPSnKKSk4rsWpcEzNdQ\nBORgKT2btye36ZS6fy/Gbaw2oB57DM/Aa6mLF1cJ0wJdsIy41D5ZnNOQzAkTmHbt5fw+GGQ6mhsi\nnEY4PsxPILF2zXyAxk0aZWIFNsmYgGI1xtFt/XV/+t3z0/77YadBV/PqhCJ6R1KOBl7dmANFO+qe\ndyXMvPKwI5//22XpSXhUAsY2/I+Y7/oGjJrz6zfzW7ZObXPgLmAeKToT4MpbjVnEXQ8uHWGZUdyB\nUfA2YwKmb4+k5J175d06jtcSJ4E6nNa3ljq3/pnfffk/evXuTm1MwFtAqLYoGvM7zMMEMnYZjmp/\nzgEwgVCm9Z05MMHQQULpf29v2Hv9/bOZmkdk04LyatCEE4CYFgiCIAjCaYpdwP1oNMHJr7DHevpf\nGJvlNZir/L/hUQvxqDF4VFc8qty1QakifwvLbjqvZPH4SMibv5bLMOlolwBfYK7O3wP0z86JBvi6\nz7V3ADTHLHi9GHXneswieBfwe0wNz1jgA+BnTBrUbEwQdxvQYekqoq8cQqu4Zgz6y6MrGHQtSd8v\noBVQY8fuJIIBZpS7hNagYR9mgRy0bvOsMWnMohnrNQ2ooDGILMzKjgbYdygzBr/fAWYxHcRcYK6B\naQrapmPb/WDSpuphFtG6VxfqfjsN9XVv43RWQ8EjDrhfo3JAZQPDd9PmruH8eekqEtxuhlzak0BZ\npgkDuuN1ObEVqgLb/0wpCAQPl7VooAUmuHjy4/98iD/AqgM+epcVEGb5duLbob7Eoz7Ao/6td/Ps\n8+kzwaM+BNZhAszXgasxdTmjgP5jnrkI4Es72LFJTCgEj7KDnIHATaTo/qTob4oFOx4Vg0e1wKP6\n4FE34lEP4FGTerZ6J6J5wBNFOB8bQ01gJUYhyrVejiYUTKdY30EA07toydqNdbG+773W+ezBfPdz\nMYpYfVL0X3/b0p586DsaZidCMBHFaJidD30iOSKW9e9GOD6c0bbUR+JMVnqOt5pRkf2W/IwoLWc2\nYkstnInUVGr2kxFUlcmYVWY+igZxeuG9I3jz0fvxAU0w7mD27VmYq9iHMBdBa2MW4IuBGc17/eXZ\nLT+/6CBFa6Xu1sm8Nqc8y2nbbjobLrTeMzsTRka0xPYoF9Bt1bq6Czum7t/s9TpaREUFfZh+K+us\n8TTGXG2PJ5RedBCzCLW3QmvMsd8voOHvbuWCiSVqS8bEwoxPCXZKVQ6XS+srh6CujJCONBn4pBv5\ns74gwzruQYxikYKphRkLLAC2kqJ91nmoFuf+Jbh54YvXP/6PPlMf++v8rz17E66IcvupXatwnTXH\nbsxqdxrw+fi/93l/7APzDwJ/x5gsRFv7jwVaeL106nNpzOg7NhZGHOM7bdm74Dvmzv6B+tffwgUT\ni3AW62kUg57xKXndOxFrzQ1am2DHXvYpdbgWCGtuldYQDEJM0/Jtpwu3gdMZ+qy1b1tQLMCkjcUR\nMgVw+vwq2u3SdsDoA3y5ee6k2BgfTie51lwXho3HTgOMxgQnbsxv4wAmGNnv81EQ24xbsnW5FtkH\nXU6SgJ2YwGcZsBbzu28JXI5xy/MBezdurtm+dYuMXOuY+Zigei5GCdsAbCBFHyhuMW1ULq3Tj9qq\nHdKWiS318UNS2gRBEAThFCUTHnwA9xLwESGt5kIYs2RXXvp5Ze7AqDn1MMGPHQh1xKSGjd288EUA\n/6KvVWataMXEItscQTMF+j2o+CE5SV2Yma0Xg7GbBvrPfF/F3TVqeN62xS89gkmf60VxpzL7fv3U\n1gcAmilHEMxiuDZmAQpmAZyHWQy7MCpRbUIqi9t67SCwbeSD9JhYhCNSKtb1N7Ksd/9ru7/78icT\n+g5oPvbRFVugsLi72qPRBD97jF8wV/QPWmO8ALNo3wncjbG/3o9H7ccoQftbtzgIsPXVd7rz2F/n\nP/zif3pdccPgNdSuVdgI2IhZj5+NSfG6ZujvVoFxm1uDqVXpDHTHOLflKQdLlv5ayOwIX9lQ4L71\n1N2ynb9cdD6OPv3oNGEeY+8rUOcpNH06cGjmsyR063h4/tYA2avW1buk3Tn79vm8ql5UlLYDFmWd\nmwZcgQAOl4vgJT0ITvkZV6T0xEt7gtPUBdlGDL5dexIaNk7JtZug+gj19nFgAjmH03H4ArvT2mLj\n42wBigQ4onGDwnz3tTE1PjiOZB6gQQf5GifbCAXQl2AyPjUmhXIBRpHqAdyotQPgKeB/mGCrjbX1\nw3z/bfCowA/TGoMn7U1gg97NhtQLD4BHRR82uqCYVXt8+L+bkTA/n91HOF2hKhGF5yg4k5Ue4ciI\nsnRyIAqPcCYRftVYg6MGZGZDUklVpbLNDRPiH9G5vz150wUX8+It66kbSW34ujdMm3r4qr4Dy/kq\nJ9ftSEzw7YVir8VhFraxWBddLXXAu+7X2lGprQ5+h+l5sxezcK6PSXNrhylmX2LtqwsmJW6XtR9n\nbj5RyWczMxtUWVf7ty6Oo1FK/uZV6+q1WLoapryx79CCNdQC6NEmlscnFMztfz5ZmMVwA+s466zj\nREfa/H6iM7OjGtap5fUGg0Q5HEYl8fkdREcFc63xBqzzjgYIBlEOR8heGoqpLfgDqNimqCM09zzk\nch5WQqL9fqIAXKFL2XbKnWPpKvSYcTi+WWye6d3ezfg036ILz2O3NbYmQIetO2rENDsr64cfl1B3\n8I20erwAVVIp+/xDJ727Bwow6tpBIHv69y36X95/s9eaqzqYgNZrjS0DOLhkZYO23Tvt2W59p+uB\nBQ8/0X94IKB4dsx3zxBKL6tn7aM2IVWniFBqYKw1lxrIvfQqR60hS4MRlTDrtxmuYvnDNm3tPwrz\n2wwCDp9P4XbrPIrbUucTqvnJAfyfTm9z3bWXb5hujaXG7j0JnRo2yPVifrsbgV869uCSe3fROtLY\nHqQZuXqL/J91nBCFRxAEQRBOIUpfNYYpkPwA5BXwx/gM/e9j67XjUXGE9YghTIF5/5XW+P08+PMG\n6s6K8FGrRwyBALFOZ7ECBWVdva8f4WPFrrRaAY+7ZZNMMGpHL8wi3N7sgCELE/jEYBSBqZjC8v3A\nwegoCpRClXe1f+uOZBql5O8vKHS3SG2tmT2TTX4/mxYtr9/D5YKeXQqSMMX8KZhalJ3W8VphVAmH\ndetavIKE9PEkzFyEA7xc1gv3uDHQozPa4UBFuYNY4yw1Ess0IHyxq8Iea5cTVZ4L2MBz0S4nCWFj\nwumEvHw3CS7fGkzq1VZg8zP/wjHhCZ59NkjMVHsfq30Mup7248fy3gN3cwdmIX/P5Le7vfnUI997\ne3en8bQP2Tb6ERJGrKUOwEVdyJs+EX+ndsEamKCjCdDAHyDQ//zNWGNJwNRnvYppDbQdSAWGt2p+\nqC2mv9EszO+iz6h7fiQu1gcwBBNUZgM7rO+0FkaRqWU9t93adljvzQWcMbX7vPWQa64XP1Elg7OZ\n4whgXNrmYdS4OEzNUltMquF+a3+HrPG7F61o1P/8Hjs3YILTKGurhQnEDttcD7xoE8DF1vyrBvVy\nsd57FnBWIMDF6z2UaY5xH1tJVmp2Vom0UKF6EIXnGBClp2qobkWkqhuq2vs62v2K4nNiEIVHOFMo\nr27n8FVj09ixTqcBw/as/HbyQEo3vwy/H02oHsYTdn/P4Nt/P/mdlz44r2YbfsgBxxFqOiDU1DGw\n2xMf1TAlbyEhNzU3Jl2uBSZ4KQDifD5HLbc7SG6em4R430GMMmBbCNsNIhVmMekOu4217tvoK4fA\nlQtRZdTm5D37dL34Tqn7li1a3rCrP6AIBHatTkuj6bxVJIGxf37qSZSVDraPkGJlL3xjANfSVTDw\nWtSEEg1Hx8TC9E/wdkpVUXkFbpKTvHZ9Uaa1ryQgsO9AbEy9OgU7rHOoSUhFiAZi/AHcS1agrrrB\n2GeXPMasz6BLh8OnFwR8efmuaK0VCfG+3LBTV4OuJeaqn3GWo4AAEAiY4NNV4lK43zIBt5+3AlS9\ndBWkpRtrbICBvWB82uFxhatXh/fvdFJEmMKSkRmT7HQGSUr0FhFKhysgpKhkW7c+QrU/4QpNrTW/\n1L0ov3B/5oQJ1Jjxswl4z23Lvoce5rsrB5ADnIsxiNiHCVyyMA1lV2J+l3ZgHQQCwx+9/IV/Tpx+\nL6HGpIGw+4efG/LHG/73yX8+usZ+buAfbv5qxnvvXmq/r7CI1okteDWrrPoi4AVglEk/7WulgwrV\nhCg8giAIgnCKcEQrasdW/DtVvstJDOCdM/UtgDcILSLtLQezAFxIyLrYVi9qYBaGHW6/YQVJiYzu\nnUrGW+uofW+JY04BLutF0Okkn1Ag4gScKQ3ywCw27SDIgVmoZlnHjAJ0QaELt9sbdCjtgGKqRSS3\nODsAspUfH2Y9mQ3409OIHXgtcUQIEmZMxGHV2nTo2sHDynWagdfSYUKBsY0DmLKc+IHXwldTyejZ\nhRhCaVTR1nF8QPaYscRPKChe42LXCo2fQNTn/9PUSPRizUfAmlO7psVVt3YBGCUAa37igPilq9Dh\nQUTvduh3IThirTEeGHgueuY4dJcOBK15stPWAj6fA8stzm+95vYHcM9ajPN/ESbSVudm/8CKh0dT\nZ+lvNNKg6seysEcfxn3+FusBV5s+Iza7XEE2zH+5HZB4831DFl498JN/DfsLdz/pxWX3AZryE1x6\nDXw1lYM9uxBvnbv93ft9fmec0xmwA0cN5GbnRrH/QBzdO+/5wcweDkoHtsmEAs4EQk5rLkC3P2c/\nQOIXH1PoD+A7cDA2qUG9ggCmDiwaYyXuxCg0Duu3YgffPkyAbQfZ3lbND4ExM/BGet2+jY4O2N+v\nF9A+vxOMctUPuDgmGnf3VnimbCQlkkp3OXCvGVD8aNNU99iUWeGYEIWnAqQz7pRWeSqjQJxMLm0n\nilNprGcSovAIZwJWwOMtU21RULCNzS6Xqd3YviupeZNG2bsJFYq7wm7tTRO6au4jdDVdfbcgqt6k\nSd7AN4twBrWprH8JczsFeCSawEdT+HZAH/ZiFn5F1v6a/rq55lWtWmR4CWu4ad3aqkwesOe7+U3P\nvrjPtszzrx6a/MPnU87GqChJGOXD7lNTBxMgNMYsXGtZ74kj1DhTA4WLllM4Zhwx3y8lFmBAD7wT\nx6O6dmT95Le7dRx269Ib6nca+VH+/qk8y7aItR//bMj6NUvYhFmEZhNqiBnvD1AU25S48upr8rdA\nIOAkJibgwag7+dacOoCYrTtqtG92VlYORuE5BBxa8DOBa24i9fHC0nUzX06lsMM5KiYuVts1UW7M\nQv5wXyCv1+FAQZQ7aB/H5w8QiG1KbFljTQKSY9CRjjn9E7zdOxHIL3DFOpQmJibgB5wFBU513U0B\n/+BFpU0NJgNfnYf+4mOyCdXbFALeQ5kxybWSC7Ot55yAv8jriHK7gjgch/sU5Vq/iwJrlwnWMBMx\ntTIFYe/JB1jzS9327c/Zb7v6OT1741ul1M/Lx/yObKXIa70eTSj4tJUjB6GUQpWVE12jRmJRDqEA\nlfDX7c3rc7ij3EG7Ca5DaxxWquLhhfWy1XDZNRGUQExeXxdrgImm7CtKS7PSakMUHkEQBEE4RThS\ng88YDXWbsN22i27aMF1rPa5RmTv0KIVxD+uOWX91wvROSViwiB3X3+Kr96QX5+HaD2AAJqpp14gN\nLz7M5wP6sI/Sxfz+xAQvmAXlVsxitbb1mu2rFQe07H/BNoDkBZ9NAfgt/HQJpTF5MUGHfYW9CFPH\nUURILUoFDvXsQs7MaUT7A8QcyohOqVenyAdE+wN0uOPGpQAf7Fo6idhmMDRCW5ShwIg9tA0EaGul\n6cVRPEUrtsz5tPD5D5fk1MRc9fdjAp+DgGfewiY0O2v12xj1IxFIGjOO/o8XFk/Hs1Wj9HQcTz1R\nl46p+zZa+7G3QuAKIP7Jf57frE7NAu67Y8kcTLPPOi4nGf27oKYsJSbS76VeLN6xBURFOuYjj+Gf\n9QVrF61o2MPvczKg75bvAdfqX+r0/2bJXtdUSjMUGPEzyu9nu8uFB1NzkwFkPvpU/4mvPPX1MOtx\nFNDi9Xe7Pt+qxSEuvXDzfkx6ZQyhNEswQdAGTA3O19Y56/DtD/ddt3LVd5OfBgYDAzZtq0VK/bw0\n4FtMPKEjbBcDD2HSLZ8ElgN69x5Ut4H3bPes+EebMj5nb40nvtBnZfqDc9da4/3ssptuuXvWB+8k\nEVLddNcOaHcSnR4p5On7NBc6MMqOHewIxw9ReCrImVbPY6saJTmZVQ5RYs4sROERzhSUUl3iYP6k\nEh3exwCfYxqNWLbUfSFt6WGXNo9yY4q1O2PWW3aAk4dZ8K0Iu91SsyHfl1Ur9PJZSaz+OfvfGOWl\nlrUlW1sCQE6uWyUm+HZgXeEnpCJFYwrbk4Fouz9MVnYUNZK89mI4GqMChP+btpUoLyFLZC+hFDcn\nxlo7E+OUxar1dTvk5O7/NS2NhnNWGNvji7tRNGqUK3rgTf6j6TVjHzdISAEruvxqEq9eXDxQsOdm\nWk+8r/4rMSoYhKaNc3ZiLi7HWJsbcNrnbO03aLmyOcsbz8rva5LaOmMjxdMPY639xmmN0x9QuF26\nkJBtt3PZalyXXYOrpMrwWAxkFUGZNSbGCS7X53MluJxB3O5gEHD4/RDbrOw+PUmgc7dwV0w0dTDf\ncz2g7tJVKZd16+jZaT3nB/avXl+vmcOhaddm/3brfXmYICQf8/toTMihLQ4TQC3E9MXZA/TcvC35\nsRZNM9cC/wXeUw3Tdh6VM6HpA3U7kPbtPNbffieJnnx6lNVjCo9qDPwOuBFoOXlKtzrDhi7tD8wj\nRQeO5IiYrNTsJ6BfybTQycBomJ2htaS0VSOi8AiCIAjCKYSxm1Z9R8Nz98FFCnOJ375q3Nu8Lf6Z\nZP59xbU/g0e9jlFw2mBMCbZat6sxi8cYjPrSFSPg1PYHqJXroHaZCsiubAIB/mwFBKWGCOiYaL/C\nXP22625sxcZ+nANkHcqMrle7ZpFOSPAqzCIXTCCTgan3KcQEQEkYpSiGUM+WoPV6NkY9WQK0t96z\n7Nt5sR0mPkXLiUU4Prc+MGUJ0b+/3c957WDK6sguaFZdUgYhs4QYQupVwsTH0ZddA5FqhWZNIKpB\n3Rw7r6khJjgJWOeUBeRu2lajydnNsvZjFCA7LSrybFozWrd2Ppjv6xCmZ0xnjCK2Btj19tQOf7tu\n0HrcLr9ttlAX2Na1A7+9MZmsUQ/Vumn4nkNao1QcTXHHbD1XF/ITJcwFwlGQEOX2k5fvxu0ObvL5\n2TL3x7MuvaT7Dv+UCCltU4BEmBPTTL9ecl/dG6ZpvTu9HyZN8FLgoprJBazdUJd2bfZPx3x/MYSC\nJDABYn0zA+Rjfk83ATfbM1MjqRBMkJQApMbH271Lj0CK9gOvn91MrTuwizlP+XGX7JUz8CJ17Yz3\naIMJclIx1xTGArPvefgq77CHlkRqlRSRLHjgQdzLHJF7Zo082v0IFaPCCo9SajRwC+aPzWrgDswf\noA8xV1i2AjdorTNLfO60UHhszjSlpzrw6jFVqsKUVHYiKT2i/px+iMIjnGkopZwKvFngSCzx2uEr\n9FsPu2uF1+nYRdhFhMwMcjEBSCaQ4fWSEdeM0WX2tFFQsJ1Cl5MNmKvy7YHZGKFpO+CLavpYnnfb\n405SdISwKfw80rVve9ri86++vcfPX73VCZOa9DtMgJaNSfnaiklRmotJb8rBLEAHY4rE22CCtmKq\n0FXXwaCfSgc1k4HHE2uSkZORPwniSigfetbnBLp2OKySRMFhy+18jLLgWLqKJmPGor9ZbGqSLu2J\n/8Y/4Hr/HbzfLjHP9elIVnoam/v0wocJ5uoDSVqjlDrcm6gQcF1+DerqRbjLqouZNhWlQn/h7MDR\nhfkOs9ZsqJuSmRXDBT137LXG+QrGVjsfiLvn4cvfe2HC9FdXra1399nNM0mu4dVXXYcqa35ea8bm\nZT/y6Vffthrpdu/ghRcKg7MW4UBDqwbs8hyi0ZNFRFq89zmsjBhVpD/Qf9vOGrc1bZy1G/je2mar\nhmO3AGidXvbfbqNMDsGoMX0wKuQG69xb79kXf16Denk+Qn2dlFKHA6R9mN/jVkxQtM+6PXy/zllM\neTxAn0hz8EUv/F99ygeYte0sUrTXfr2konM0Pa+Uulsn89rsbLiwZM+s8j4nVJ4KBTxKqWaYH2tb\nrXWRUupDTG5lO+CA1voZpdRDQE2t9cMlPntaBTw2EvhUjpIpcxKICMeKBDzCmcbRGBism59EqxbZ\n27CagRIyLLBTohxhW7Gi7PKChXA747IIS9uC0jUQQSC4ZCWMGadivl1i1iIDuuFNTyOrZxcKrffY\nTSbjwj7rIFRTY6eaYZ1jESZ48/kD1IltSlR5aWI/fIF+fCJq+kLz/EVdyH9kNMv79WYJsA1TJ7QH\nozh0wCgTPTAB4/vAm29+yOI7/29sIYzvFod76aQSV/AfjSY441PyenQm3h5zkdfhjI4K/oppwNkD\nOPTzcmpdeT0pZdlQtzvHQZQ7mGENPwETiC0D1gJRH01re3tiopfLL9q0EFOXVYtQUKStQAB72acU\nwSUrKRh4LXElTQtGR+H/72u8N/hS9r32ToMHHx23p5Q99qPRkNqKwMK1ODXQtiG//GEo/xg9ghyg\nLybQqYkJhL9vfcHwVzYu+KeDFK1DjXNVP4BSKWSmtqwb5pC/xwQ4U4D/kVLyQroVaHh7kQo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J3n/rGMS5wWQ0ge46oQvDCZoIT3E8CRP7/xefyxrgBepdhV+PPojlY22ysWk9PQstVjgF0iJS+D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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe0fb9986d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(15,5))\n",
    "ax1 = fig.add_subplot(121)\n",
    "ax1.imshow(mx.adjacency_matrix(mg,weight='weight').todense(),\n",
    "          origin='upper',interpolation='nearest',cmap=plt.cm.jet_r)\n",
    "ax1.set_title('supra adjacency matrix')\n",
    "\n",
    "ax2 = fig.add_subplot(122)\n",
    "ax2.axis('off')\n",
    "ax2.set_title('regular interconnected network')\n",
    "pos = mx.get_position(mg,mx.fruchterman_reingold_layout(mg.get_layer(0)),\n",
    "                      layer_vertical_shift=1.4,\n",
    "                      layer_horizontal_shift=0.0,\n",
    "                      proj_angle=7)\n",
    "mx.draw_networkx(mg,pos=pos,ax=ax2,node_size=50,with_labels=False,\n",
    "                 edge_color=[mg[a][b]['weight'] for a,b in mg.edges()],\n",
    "                 edge_cmap=plt.cm.jet_r)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### General multiplex multiplex"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Define the type of interconnection between the layers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "adj_block = mx.lil_matrix(np.zeros((N*4,N*4)))\n",
    "\n",
    "adj_block[0  :  N ,   N:2*N] = np.identity(N)   # L_12\n",
    "adj_block[0  :  N , 2*N:3*N] = np.random.poisson(0.005,size=(N,N))   # L_13\n",
    "adj_block[0  :  N , 3*N:4*N] = np.random.poisson(0.006,size=(N,N))   # L_34\n",
    "adj_block[3*N:4*N , 2*N:3*N] = np.random.poisson(0.008,size=(N,N))   # L_14\n",
    "adj_block += adj_block.T\n",
    "adj_block[adj_block>1] = 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Create an instance of the MultilayerGraph class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "mg = mx.MultilayerGraph(list_of_layers=[g1,g2,g3,g1],\n",
    "                        inter_adjacency_matrix=adj_block)\n",
    "\n",
    "mg.set_edges_weights(inter_layer_edges_weight=5)\n",
    "\n",
    "mg.set_intra_edges_weights(layer=0,weight=1)\n",
    "mg.set_intra_edges_weights(layer=1,weight=2)\n",
    "mg.set_intra_edges_weights(layer=2,weight=3)\n",
    "mg.set_intra_edges_weights(layer=3,weight=4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Plot the adjacency matrix and the multiplex networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IDWt9bgDO3WC7xWWnvdeFr6Z/kH/XgSOm1lU1EFznA1UWpRmuqnNkAsXYuj57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\nPvdR9vzf7XFXoTa5A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1VU2qA1L3XRRXk2Sj46oITkYHteiYg/CF1wf4ISi2eNCT6x+08H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\nERERkYym0CMiIiIiIhnt/wESlhk7SuHJIgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe1004fcb90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(15,5))\n",
    "ax1 = fig.add_subplot(121)\n",
    "ax1.imshow(mx.adjacency_matrix(mg,weight='weight').todense(),\n",
    "          origin='upper',interpolation='nearest',cmap=plt.cm.jet_r)\n",
    "ax1.set_title('supra adjacency matrix')\n",
    "\n",
    "ax2 = fig.add_subplot(122)\n",
    "ax2.axis('off')\n",
    "ax2.set_title('general multiplex network')\n",
    "pos = mx.get_position(mg,mx.fruchterman_reingold_layout(mg.get_layer(0)),\n",
    "                      layer_vertical_shift=.3,\n",
    "                      layer_horizontal_shift=0.9,\n",
    "                      proj_angle=.2)\n",
    "mx.draw_networkx(mg,pos=pos,ax=ax2,node_size=50,with_labels=False,\n",
    "                 edge_color=[mg[a][b]['weight'] for a,b in mg.edges()],\n",
    "                 edge_cmap=plt.cm.jet_r)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
